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Simplifying x2 + 6x + 9 = -200 Reorder the terms: 9 + 6x + x2 = -200 Solving 9 + 6x + x2 = -200 Solving for variable 'x'. Reorder the terms: 9 + 200 + 6x + x2 = -200 + 200 Combine like terms: 9 + 200 = 209 209 + 6x + x2 = -200 + 200 Combine like terms: -200 + 200 = 0 209 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-209' to each side of the equation. 209 + 6x + -209 + x2 = 0 + -209 Reorder the terms: 209 + -209 + 6x + x2 = 0 + -209 Combine like terms: 209 + -209 = 0 0 + 6x + x2 = 0 + -209 6x + x2 = 0 + -209 Combine like terms: 0 + -209 = -209 6x + x2 = -209 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -209 + 9 Reorder the terms: 9 + 6x + x2 = -209 + 9 Combine like terms: -209 + 9 = -200 9 + 6x + x2 = -200 Factor a perfect square on the left side: (x + 3)(x + 3) = -200 Can't calculate square root of the right side. The solution to this equation could not be determined.
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